SOLUTION: Please help me solve this word problem: When the Johnson triplets were three weeks old, their sleeping habits were remarkably consistent. John slept for 3 hours and was awake fo

Question 70781: Please help me solve this word problem:
When the Johnson triplets were three weeks old, their sleeping habits were remarkably consistent. John slept for 3 hours and was awake for 30 minutes. Joan slept for 2 hours and was awake for 30 minutes. Jane slept for 2 hours and 20 minutes and was awake for 40 minutes. On October 13 at 8:00pm, they all went to sleep at the same time. When did this event occur again? Give both the date and time.
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
When the Johnson triplets were three weeks old, their sleeping habits were remarkably consistent. John slept for 3 hours and was awake for 30 minutes. Joan slept for 2 hours and was awake for 30 minutes. Jane slept for 2 hours and 20 minutes and was awake for 40 minutes. On October 13 at 8:00pm, they all went to sleep at the same time. When did this event occur again? Give both the date and time.
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John is on a 3.5 hr cycle
Joan is on a 2.5 hr. cycle
Jane is on a 3 hr cycle
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3.5*2.5 = 8.75
8.75*3 = 26.25 hrs.
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8:00pm + 26.25 hrs = 8:00pm + 24 hr + 2.25 hr.
It occurs on 14 October at 10:15 pm
Cheers,
Stan H.
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